Greatest Common Factor of 3663 and 3669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3663, 3669 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3663 and 3669 is 3.

GCF(3663,3669) = 3

GCF of 3663 and 3669

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3663 and 3669

GCF of 3663 and 3669 is 3

Prime Factorization of 3663


3 3663
3 1221
11 407
37 37
1

Prime factors of 3663 are 3,11,37. Prime factorization of 3663 in exponential form is:

3663 = 32×111×371

Prime Factorization of 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

∴ So by taking common prime factors GCF of 3663 and 3669 is 3

Greatest Common Factor of 3663 and 3669 by matching factors method

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1,3,1223,3669

Greatest Common Factor

We found the factors and prime factorization of 3663 and 3669. The biggest common factor number is the GCF number.
So the greatest common factor 3663 and 3669 is 3.

Also check out the Least Common Multiple of 3663 and 3669

Properties of GCF 3663 and 3669

(i) The GCF of 3663 and 3669 is associative

GCF of 3663 and 3669 = GCF of 3669 and 3663

Related Greatest Common Factor of 3663

Related Greatest Common Factor of 3669

Frequently Asked Questions on GCF of 3663 and 3669

1. What is the GCF of 3663 and 3669?

Answer: GCF of 3663 and 3669 is 3.

2. What are the Factors of 3663?

Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.

3. What are the Factors of 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

4. How to Find the GCF of 3663 and 3669?

Answer:

Greatest Common Factor of 3663 and 3669 = 3

Step 1: Find the prime factorization of 3663

3663 = 3 x 3 x 11 x 37

Step 2: Find the prime factorization of 3669

3669 = 3 x 1223

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3663 and 3669 is 3